The data for n = 51


The potential
The picture and a description of the configuration
The Gram minimal eigenvalue projection
The Gram middle eigenvalue projection
The Gram largest eigenvalue projection
The Coulomb view
The points in Mathematica format

potential =1099.819227


There are 6 rotated squares located in three positive and negative orthogonal directions as can be seen in the minimum gram eigenvector projection with the degree 5 points at each corner of the squares. The middle gram eigenvalue projection shows 17 rows of 3's with the degree 5 points in rows.

[Graphics:n51pic.jpg]

Back to the top of the page


smallest eigenvalue Gram view

[Graphics:n51g1.jpg]

Back to the top of the page


second largest eigenvalue Gram view

[Graphics:n51g2.jpg]

Back to the top of the page


largest eigenvalue Gram view

[Graphics:n51g3.jpg]

Back to the top of the page


The Coulomb view

[Graphics:n51coul.jpg]

Back to the top of the page


The points

{{-0.236281, 0.856552, -0.458792}, {0.438962, -0.376853, -0.815656}, {-0.0357948, -0.980708, -0.192171}, {-0.377396, 0.893658, 0.242793}, {-0.479201, -0.877076, 0.0332262}, {0.461838, -0.748809, 0.475386}, {0.0261761, -0.63951, 0.768337}, {-0.563802, -0.352683, -0.746821}, {-0.963585, -0.16828, -0.20781}, {0.812411, -0.337973, 0.475145}, {0.400623, -0.916148, 0.0132245}, {0.809615, -0.585574, 0.040336}, {-0.461398, -0.711834, 0.529531}, {0.855788, -0.303805, -0.418724}, {0.559506, 0.616309, 0.554182}, {-0.911869, 0.358224, -0.200425}, {0.508433, 0.168006, 0.844553}, {-0.35274, -0.319712, 0.879408}, {-0.345273, 0.100714, -0.933082}, {0.913719, 0.216767, -0.3437}, {-0.838221, -0.511003, 0.190426}, {0.685337, 0.64645, -0.335285}, {-0.969009, 0.0520767, 0.241476}, {0.106995, 0.865543, 0.489272}, {0.171947, 0.0682647, -0.982738}, {-0.620669, 0.764321, -0.174881}, {-0.358168, 0.64777, 0.672391}, {0.662288, 0.0598625, -0.746854}, {0.99558, -0.0780021, 0.0523086}, {0.491393, 0.865293, 0.0990001}, {0.851421, 0.160292, 0.499388}, {0.866775, 0.483062, 0.123908}, {0.567316, -0.712729, -0.412517}, {0.462553, -0.353394, 0.813116}, {-0.304625, 0.199921, 0.931255}, {-0.345128, -0.767397, -0.540359}, {-0.571212, 0.505763, -0.646468}, {0.120998, 0.49624, 0.859712}, {0.0896833, -0.08748, 0.992121}, {-0.0870893, -0.382123, -0.919999}, {0.427286, 0.485704, -0.762574}, {-0.0721753, 0.537434, -0.840212}, {-0.751424, -0.258004, 0.607286}, {-0.780192, 0.556863, 0.284962}, {0.25541, 0.854787, -0.451779}, {-0.785552, 0.0602359, -0.615857}, {-0.0317157, -0.938845, 0.342875}, {0.13722, -0.759984, -0.635292}, {-0.709378, 0.237423, 0.663637}, {-0.744075, -0.589218, -0.314921}, {0.0167039, 0.999611, -0.0223383}}

Back to the top of the page


Copyright by Neubauer, Schilling, Watkins and Zeitlin (1998).